Accurate system identification using inputs with imperfect autocorrelation properties

Abstract

The application of periodic pseudorandom sequences to system identification via input-output crosscorrelation is well established. Accurate estimates of system impulse response can be obtained if the pseudorandom test signal has a perfect (impulsive) periodic autocorrelation function. The authors present theoretical results which show that it is also possible to use sequences with imperfect autocorrelation functions as test inputs while maintaining identification accuracy. Simulation results are provided which verify the theoretical basis of this method.